17. 0.0101 , 0.0100, 0.0110,0.0011
Using the numbers above, which of the following sequences lists the numbers from least to greatest?
A. 0.0011, 0.0100, 0.0101 , 0.0110
B. 0.0110, 0.0101 , 0.0100, 0.0011
C. 0.0011 , 0.0101, 0.0100, 0.0110
D. 0.0110, 0.0100, 0.0101, 0.0011
(A) since 0 < 1
A
The first number in decimal is tenth, next is hundredth, next thousandth, next ten thousandth, and so on
To determine which sequence lists the numbers from least to greatest, we can compare the numbers in each option and determine their order.
Let's analyze each option:
A. 0.0011, 0.0100, 0.0101, 0.0110
B. 0.0110, 0.0101, 0.0100, 0.0011
C. 0.0011, 0.0101, 0.0100, 0.0110
D. 0.0110, 0.0100, 0.0101, 0.0011
Comparing the first number in each option, we see that the least number among them is 0.0011, so options A and C are the possibilities.
Next, we consider the second number in each option. The second number is the same in both options A and C, which is 0.0100.
Moving on to the third number, we find that option A has the next least number of the two remaining sequences, which is 0.0101.
Finally, we compare the fourth number, and we see that option A ends with the greatest number, 0.0110.
Therefore, the sequence that lists the numbers from least to greatest is option A: 0.0011, 0.0100, 0.0101, 0.0110.